23 citations · 41 across the 6 of their papers we have counts for
6 papers
SeeMPS: A Python-based Matrix Product State and Tensor Train Library
Paula García-Molina, Juan José Rodríguez-Aldavero, Jorge Gidi +1
We introduce SeeMPS, a Python library dedicated to implementing tensor network algorithms based on the well-known Matrix Product States (MPS) and Quantized Tensor Train (QTT) forma…
Pseudospectral method for solving PDEs using Matrix Product States
Jorge Gidi, Paula García-Molina, Luca Tagliacozzo +1
This research focuses on solving time-dependent partial differential equations (PDEs), in particular the time-dependent Schrödinger equation, using matrix product states (MPS). We…
Approximation and composition of functions in quantized tensor trains via orthogonal polynomial expansions
Juan José Rodríguez-Aldavero, Paula García-Molina, Luca Tagliacozzo +1
This work explores the representation of univariate and multivariate functions as quantized tensor trains (QTT). It develops a constructive algorithm that employs expansions in ort…
Comparative study of matrix product state/quantized tensor-train algorithms for solving time-independent partial differential equations
Paula García-Molina, Luca Tagliacozzo, Juan José García-Ripoll
This work presents a comparative study of new and existing optimization and diagonalization methods for solving time-independent partial differential equations (PDEs) using matrix…
Mitigating noise in digital and digital-analog quantum computation
Paula García-Molina, Ana Martin, Mikel Garcia de Andoin +1
Noisy Intermediate-Scale Quantum (NISQ) devices lack error correction, limiting scalability for quantum algorithms. In this context, digital-analog quantum computing (DAQC) offers…
Quantum Fourier analysis for multivariate functions and applications to a class of Schrödinger-type partial differential equations
Paula García-Molina, Javier Rodríguez-Mediavilla, Juan José García-Ripoll
In this work, we develop a highly efficient representation of functions and differential operators based on Fourier analysis. Using this representation, we create a variational hyb…